{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "../c2x2-paper-d200-t1-v2.csv\t  ../c3x3-zero-goal-d200-no-decay-v2.csv\r\n",
      "../c2x2-zero-goal-d200-t1-v2.csv  ../c3x3-zero-goal-d200-t1-v2.csv\r\n",
      "../c3x3-paper-d200-t1-v2.csv\r\n"
     ]
    }
   ],
   "source": [
    "!ls ../*.csv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"../csvs/c2x2-paper-d200-t1.csv\")\n",
    "df_fix = pd.read_csv(\"../csvs/c2x2-paper-d200-t1-v2.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'duration', data=df);\n",
    "sns.lineplot('depth', 'duration', data=df_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'is_solved', data=df);\n",
    "sns.lineplot('depth', 'is_solved', data=df_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df[df.is_solved == 1]);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_fix[df_fix.is_solved == 1]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df[df.is_solved == 0]);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_fix[df_fix.is_solved == 0]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>start_dt</th>\n",
       "      <th>stop_dt</th>\n",
       "      <th>duration</th>\n",
       "      <th>depth</th>\n",
       "      <th>scramble</th>\n",
       "      <th>is_solved</th>\n",
       "      <th>solve_steps</th>\n",
       "      <th>solution</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>150</th>\n",
       "      <td>2018-11-03T16:16:17.823470</td>\n",
       "      <td>2018-11-03T16:17:23.161709</td>\n",
       "      <td>65.338239</td>\n",
       "      <td>8</td>\n",
       "      <td>10 11 3 0 2 3 6 4</td>\n",
       "      <td>0</td>\n",
       "      <td>30001</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>167</th>\n",
       "      <td>2018-11-03T16:18:47.761304</td>\n",
       "      <td>2018-11-03T16:19:48.413431</td>\n",
       "      <td>60.652127</td>\n",
       "      <td>9</td>\n",
       "      <td>0 1 11 11 2 2 6 4 1</td>\n",
       "      <td>0</td>\n",
       "      <td>30001</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>180</th>\n",
       "      <td>2018-11-03T16:23:31.133549</td>\n",
       "      <td>2018-11-03T16:24:41.157169</td>\n",
       "      <td>70.023620</td>\n",
       "      <td>10</td>\n",
       "      <td>4 3 1 9 4 6 5 7 4 9</td>\n",
       "      <td>0</td>\n",
       "      <td>30001</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184</th>\n",
       "      <td>2018-11-03T16:24:58.234002</td>\n",
       "      <td>2018-11-03T16:25:49.120395</td>\n",
       "      <td>50.886393</td>\n",
       "      <td>10</td>\n",
       "      <td>6 3 8 1 8 1 0 3 10 1</td>\n",
       "      <td>0</td>\n",
       "      <td>30001</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>189</th>\n",
       "      <td>2018-11-03T16:26:32.016005</td>\n",
       "      <td>2018-11-03T16:27:35.661119</td>\n",
       "      <td>63.645114</td>\n",
       "      <td>10</td>\n",
       "      <td>4 9 6 8 5 5 7 2 11 6</td>\n",
       "      <td>0</td>\n",
       "      <td>30001</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                       start_dt                     stop_dt   duration  depth  \\\n",
       "150  2018-11-03T16:16:17.823470  2018-11-03T16:17:23.161709  65.338239      8   \n",
       "167  2018-11-03T16:18:47.761304  2018-11-03T16:19:48.413431  60.652127      9   \n",
       "180  2018-11-03T16:23:31.133549  2018-11-03T16:24:41.157169  70.023620     10   \n",
       "184  2018-11-03T16:24:58.234002  2018-11-03T16:25:49.120395  50.886393     10   \n",
       "189  2018-11-03T16:26:32.016005  2018-11-03T16:27:35.661119  63.645114     10   \n",
       "\n",
       "                 scramble  is_solved  solve_steps  solution  \n",
       "150     10 11 3 0 2 3 6 4          0        30001       NaN  \n",
       "167   0 1 11 11 2 2 6 4 1          0        30001       NaN  \n",
       "180   4 3 1 9 4 6 5 7 4 9          0        30001       NaN  \n",
       "184  6 3 8 1 8 1 0 3 10 1          0        30001       NaN  \n",
       "189  4 9 6 8 5 5 7 2 11 6          0        30001       NaN  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_fix[df_fix.is_solved == 0].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cube 2x2 zero goal fix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_c2_zg = pd.read_csv(\"../csvs/c2x2-zero-goal-d200-t1.csv\")\n",
    "df_c2_zg_fix = pd.read_csv(\"../csvs/c2x2-zero-goal-d200-t1-v2.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'duration', data=df_c2_zg);\n",
    "sns.lineplot('depth', 'duration', data=df_c2_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'is_solved', data=df_c2_zg);\n",
    "sns.lineplot('depth', 'is_solved', data=df_c2_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'is_solved', data=df_fix);\n",
    "sns.lineplot('depth', 'is_solved', data=df_c2_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df_c2_zg);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_c2_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df_fix);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_c2_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df_fix[df_fix.is_solved==1]);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_c2_zg_fix[df_c2_zg_fix.is_solved==1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Significant improvement with the fix."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cube 3x3, paper method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_c3_p = pd.read_csv(\"../csvs/c3x3-paper-d200-t1.csv\")\n",
    "df_c3_p_fix = pd.read_csv(\"../csvs/c3x3-paper-d200-t1-v2.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'duration', data=df_c3_p);\n",
    "sns.lineplot('depth', 'duration', data=df_c3_p_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'is_solved', data=df_c3_p);\n",
    "sns.lineplot('depth', 'is_solved', data=df_c3_p_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df_c3_p);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_c3_p_fix);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No improvement"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cube 3x3, zero goal\n",
    "\n",
    "Compare previous results with fixed (which gave more steps to solve for each cube)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_c3_zg = pd.read_csv(\"../csvs/c3x3-zero-goal-d200-t1.csv\")\n",
    "df_c3_zg_fix = pd.read_csv(\"../csvs/c3x3-zero-goal-d200-t1-v2.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'duration', data=df_c3_zg);\n",
    "sns.lineplot('depth', 'duration', data=df_c3_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'is_solved', data=df_c3_zg);\n",
    "sns.lineplot('depth', 'is_solved', data=df_c3_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df_c3_zg);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_c3_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df_c3_zg[df_c3_zg.is_solved==1]);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_c3_zg_fix[df_c3_zg_fix.is_solved==1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No improvement versus old version"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cube 3x3, paper method versus zero goal\n",
    "\n",
    "Compare fixed results on paper with fixed in my method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ol0bIdroliirAre5YmF9rOKYRvPI9EALntg+X3C4sBzG8Hzm8f9PrOsij1uY2Vi7R/FlWnvomqQ9OIgcnql/YSaJyK0ilqt5znU+jg0Ljsi92Mq6ob5MCsy5k0JlFRN8oKrOMHD7Q5s+RoRsw77ChJFG6TfGRIlrolqsAr8dHGpFziWZPEV18A8d9EFmn/pVwUlij12EfuZvEHT9N6j2fQ9gOwZs/rO349RVaFQ0yrXWcqdVEtb4QArQmzLY+dVVrTbR8Cexk8W9SaL/1fVcM3YcxJIYtaKXQQaG92UqI1reBbTA+olWE//J3EH0j2Dfe3/QwRLKP/lvfSzT1GmplprZjpFVd7r2QQfv5plsGCztJtNr6hlcqt4rOZzYMnbCctvRdMXQfxpAYtqI60HhKWtDizK31+Ei9hKeeQa/N49z+kZYZz/7b3gd2suZVCU4SlVmqKPcerUy3pO+8cJJEubXW9kNREWrp4ua6FieJyq52vLWyofMYQ2LYSida4UobwhanADcQH9H5NMEbP0TuvRFrn9uyochkL86N9xNdfAO1fKnq/kLaiCiAMsrIupCBQqZlfeeFEC3t567SS3Em2RX3f12YUrehrbChuzCGxLCFOBDbZlkZaaFa2AK20fiI/9ojEAUkbv9oyzPU7BvvAydF8MY/17S/rtDLXa3OgdUiKX9AJFLodF1qQ2XRoY9auYQooUAspBNnpBmuaYwhMWxBhwUQ7RU7XFekbZnbo4H4SLR4gejci9g33o+ss7K8FoSTwjn2ANH0CaKlqer720nIbn3oaj+Hzq3UXTdSCWknIMi1pJ+7WpuLVZ1LFWg6SVRuuaPtlQ2dxxgSw1b8AsJqv2puK+Xk642PaK0IXv4OItWP476vJWMohX39uyHRU9uqxHJQ+cyW1Fy1Ngey9YkPGpru5679XNydsUyVfZy9BbpgNL6uZYwhMWxBB/m6NJwavo4u1pK0gjrjI9HZF1FLF3Fu/RCihRL5VyOcJM6x96Bm3iJaOFd536IhvLKXuw4KceZTG9rkCqcHnVlouJ97nI58CSyncj8UO9EyN5qhOzGGxLAJrXXs2urAioQW1ZLUGx/Rfg7/tUeQo9dhrVewtxH7+ndBsq+mVYmwnCt0vtZXI3Z7FAYsJw7uB40lPehCGpVbq+5ys5Oo/Bq6E0kchm3BGBLDZlSEoIWtdSsgRIvEG+uMjwRv/hD8LIk7P9aRDorCTuAcfy9q7jTR/JnKOzvJuB5DqbglcXqhLauRy4OTsXZXnWil4nTfGqRa1osgG5HLN+wMjCExbCYKQHeol4e0q1Zz10I98RG1OkN46hnso/dskTppJ/bRexCpfoLX/7miK0kIGfcNCXKo9AJIq71G3UkV+7nX595S2aW4aLXGVaCwk5DZHe4trTVReqFtMjTdiDEkhk1oFaJFc6m/wVtPEpx8ovqOlhW70ZolX1v/Ea01/kv/AHYS5+aHm79uHQjLwT7+IGrhLGrudOV9pURll1Br82WD2C0bl7TjAtQ6Gl7pKEQtX6q5qRYAdiLWCdsFD1e1toCaOx2/f7sEY0gMm9BhQGPaucXjtSJ488eEbz1RdZYrpI0OA7RuvOVuHB9J1xQfiS6+jpo/g3PLw/U9BFuEfeRuRM8gwRs/qHxv7FRc4AcdczGq7ErN+6v0XNw5s56mWkKgufbdW1FmCb10AdE7jFqb3xWGE4whMVxNmI/lSxpELV6I6xPyaXS+uu9doJtLAa4xPqJDn+CVf0QM7cU+ek/j12sCYdnY7vtQixdQs29V3A90w8256sZJoTKLNRl0HRTQK7OI5Nbiw2oIJ3VNu7dUbg29cA5SAxtGVu2SbDVjSAyb8QtNGZJo+sTG/9Vi9SI8TXMpwLXGR4ITj6FzKyTu+Ni2du2zD9+F6B2uGiuRqcGGOzCG518m8H5c8/5CWqAV1FDroVani1lk9d9DYSfjCUarxTq7AO1nUfNnING78b6JRG/cXmAXFGPWvDZ1XXcU+B+Au4BN3Wo8z2tfRZeho6igOXXZaPokcvQgavkSamkKJm+pfIDW6Chs3JlWQ3xEZRYJTz6OdfA2rPHDjV6pJQhp47jvw//Jt4imT2Dvb52+F0Dw1lMEr3wXADm0D2vf8ZrHVa0RVdxrZBlSDfZCIZ44qHwaq3+04XN0GzooEM6dRtjJzVpj0oqz29LLWIOtV07oJuqpOvtLIAn8NWDKVK9BtFIQ1d/CdR2VXUavzmDf+qE43XPpQtVjhJQNB9zX4yPVXEBxwypZtmFVp7EO3Yk48SjBG/+Mte9Yy1ZIgfcowevfxzpwM2p1Dv+l75AaP1LbxMBJFRtR7S+5EtJaxTIvdqqplGnhpOKU5mvEkOgoIJo/jRBWyfsskn2o1Wlk/0jDK8ydQD2G5AFgwvO81intGboLFdJMWUU0cxIAa98xdG6F8OxP0LpK/ELajcvJ1xAfiWbeIrrk4dzywca7CrYYIS2cmz6A//zXiS6+iV1t1VYFrTXBmz8kfPNHWAdvJ3H3z6EWzlF47M8JvEdJ3PrB6mO6op+7KHGfVHYV7eeQPfU1/dpyHTuBzq2iw0KcEryD0Sokmj8b116VEKyE4qpEq3i11z/W4RF2jnqmQi8DB9s1EEMXEAVxzKLRw6dPInqHEQMTyJHJ+Hyrc5UPkha6wcrqavERrUL8l/8B0TfakoZVrcS67nZE/xjBmz9sMmtNE7z2T7EROfwOEvd8EiEtrImjWNfdQXjy8Vg5uAZipd6twWGtItTyxZYF/7UQOz57S6sItXAB/HxZI7KOcHpRK7Pxiv8apZ4VyQ+A77qu+2fA9JUbPM/7UktHZdgWdBTGLV8bOjZAzZ3CPvxOhBDI0XjOoZamkEN7yx8obXQhjda6fpdJlfhI+PbT6PQCyft/pZgJ1T0IIXFu/gD+s18jmnod++BtdZ8jFp787kaBpXPn5kSCxG0fJjd9Av+lb5N8739V/f46KVRuDRmFm+6XSi9AFLbMkAg7WXRv7cwZutYaf/4CKr+KrCFeJCw7DsbnVrH6hjswws5Tz4rkQeAC8CHgc1f8fLYN4zJsAzr0EbIxf72aOw1RiLXvGACibxScFFGVOIkQIk4BrjOzpVr9iM6vEbz5I+TeYzUHnDuNNXkrYmCC4I36VyVaK/wX/z42Ijfej3Pnx7e4+ESqH+eWD6LmzxCdf7nqOUtJmcS9RmYaSvctex07AUG+JRL224FanSZanUckB2o+RiR6UCuXmlp9djM1T9M8z3uonQMxdAFhPo5ZNEA0fRIsBzl+BIgfSnJkMs7cqukEIdSh3qv9yvER/9VHQEUk7vhozefsNPGq5CH8Z/6a6Pwr2IfurOk4rSL8F75JdP5lbPd9ODc/VHa1YR+9m+jcT/Bf/UesfcerJlJsSJkUZ85qZaZ8r5Em0IDKr2G1UXm5HURr86iVGeT+fYg6YnvCcoqrkjWs3ubiTN1IXdNP13VHXNf9Ndd1/13x35F2DczQebTfWDGi1ppo5gTWxPWbXE1yZBK9Mlu1bkBrUXcFcFTIlo2PRAvniM6/FDes6nL3iXXgJsTQPoI3f1RTky+tIvznvkZ0/mWcWx4mccvDFV1WQkgSd/0MFLIEr3+/+oDsBDof93PXfi6OmVSJAVyNWp3bVE9UclxOT+ze2kFEmWX04hQiOdBYHY3Tg16Zbli2v5up+W64rns/8DbweeAO4DeBt4uvG64BdNhYMaJem0NnVzbcWutYowcBXbVnuRDUXaSmsstl4yOB92ixYdWDdZ1zO1iPlejMYlX3k45C/Kf/mmjqdZzbPlxzQy45fAD7+nsJTz9HtFjd1RjXeqwRLV0EK1FX7EqtzZN/9EsUnvxqHFspdx3LgaDQcKJFp9H5NHrhLKT6Gl6dCTuBDvLows5ONChFPWb1D4Df9jzvAc/zPuN53nuA3wL+sD1DM3QSrcK6W9Wusz77lFcZEjkyCVC9nkTadfXE0FoRZUrHR7SKUPNnsA7cvGPSS619LnL4QMVViQ59Ck99lWjaw7nzYzjHHqjrGs4tD0OyH/+lb1f10wsnhV6dRRfSddUU6fwahSe+DAiQFoH3aOUDhGhIwr7TaD9HOHe6WLXeXNKGcFKo5WtvVVLPU+M4cTHilfwtcGPrhmPYNqKQRjN/o+kTiKG9W2oMRLIvFq+rFieRVn3NlYICWkcljZ5aughRsBGr2QkIIXBufgidXSY6+5Mt23VYoPDkX6Jm3ybxjk/gXP+u+q/hpEjc8RH08iXCU89W3rc4c64nS0sHefJPfAVdyJB84Fexj95DdP6lylpTTg86U7+EfSfRYYFw7hTCTtTVgbMcwk6i/SwUMi0YXfdQjyE5CfzyVa/9ArG7y7DTiUIa+TprP4daPF82M0qOTFbX3LJsVB0ZPMrPlXW3qGLjKGsHGRIAufdG5OhBAu/HmzoJ6iBP4fEvoxbOkrjnU9hH3tnwNazJ25AT1xO8/gOibOWVgOwdqfnBqVVI4em/Qq/Oknz3L2GNTGIfewCEJDhRflUiLBtCv+EOje1GRwHR3BkEsqWrW2EnUauzLTtfN1CPIfk3wBdc133Kdd2/cl33aeCPgd9tz9AMnUQ1KKQXzb4FWmPtLWNIRg+icyvo/FrZcwghQauags1AXD9SJu03mj+NGNzT0nTVTrCxKsmtEp59AYiFAAuP/QVqaYrEvb+A3WRbYCEEiTs/Bipk5em/a8Ww4zTk57+JmjtN4p2fwNobOyhkzyD2kbuJzr2EyixVGFRjHRrbjVZRsWo9bFgyqBzCScUJDdfQqqRmQ+J53hPADcAXgOeBPwJuLL5u2OmEPkLU7/+Npk9Cohc5Olly+3qcJKri3qpVTn5DX8spFR8JUQvnd9xqZB05cT1y7BCh9ygqu0z+0T9Hrc6QvO+Xm5ZR2bjGwDj28feSO/0S0WzzzoTg1UeILryCc8sHsQ/dtWmbffw9IAThicfKn6DBDo3tQGuNDvJE6QWi2VNoP1e1ar1hrETNigM7gbqeHJ7nLQFfbtNYDNtJkKs7Y0trRTRzEmtveeFBObw/DqouTcH+m8qfC2I5+Wp1BRX0tXZifORKhBA4tzxM4dH/TP77fwxakbz/V7D23NDS6zjH34ueehX/xW+T+uBvNez7D956kvCtJ7Cvvxf7+Hu3bJc9Q9iH30F45gVs90Fk79aqbiFtiDLx569T/VeuQKsQ/DwqtxpnAqrYxSvsFDJVe8FhvYhET7xS93MtX/FsBxUNieu63/U876PF/z8Kpd3oRkZ+56PDAtQpI6IWL4Cf25L2eyXCchCDe2vqTaKigGqmrJK+1uX4SPNS8esz5GaUbhvBGj+C3HM9avECyQc+25bVlbAchu//ORb+8T8Rnnwc56YP1H2O8MKrBK98D+vAzTh3/HT5gsjj7yU88wLhicdJ3PXx0ieTViwf0iFDooMCqpCB7AqqsAY6NmjCSSJkbxNqc3ViOai1OayxQ526Ytuo9uT4iyv+/6ftHIhh+9BaxfIoyfoCitH0SRACa0/lxD1r9CDhhVcqKgELYUMtAffcStkZdDR3BjG4t+n4iFYhOp+OBSUh1h8TxNMoASAQG68JEOsbNnYgzAToSDSk8ZV89y9BGCAq9AZpltRBF2vyFgLvUayDt9dVuBnNncZ//uvIsUMk7vlUxZRx2TuMdfguwrPFVUkpBWanB5VeRA7uaUvTMa0UBDlUbg2VXUJEYaztZieLxYWdnSxs4PSgM8vowT1x98gdTMVPued5f3nFr296nvf01fu4rlt/LqKhuyg2lqr3CxXNnECOHqq6NJcjk3D6OXR6ATEwUXony4rdGxXQWqEKmZJpqToKUYvnsI/cXfP4y16nkEGOH8LqGy1eVwP6ivX4lb/rK4QuL7+WGLDAex2d6q+7gE3YSehADYxz+0eJZt7Cf+k7JB/4bE3vv1qZpvDUf0H0jZK87zM1ucWc4w8SnX2R8MRjcbD/KuIGUCH4OWhRkoQOfVQhC7llVC4NqLhniJNEOD2dW3VUQAiBlhZqbb5YvLtzqcf8/1OZ17/bioEYthFVf+qvyq6gV2YqurXWuVyYWMG9Je3qDa4qxkemIAqbjo/oQhbZM4Dsvaz+I4RACImQ6z9W7Aqx7Nh1Zyf2UBWwAAAgAElEQVSKP8nigyqFMzCKGD8E+XTt2WgdRvYM4tz8EGr2baKLr1fdX2WXKTzxFYSdiA1Pjb592TeCdehOwjPPl83eE8JqSfaW1poovUB4yUMtnEP7eUSyN25dnOxruqCw5SR60emFhpu7dQtV76rrupJ4vS5c1xVsLlu7Abj2GxJf4+gasqWu5nITq+rKumJgHOxEHCe5KrNnYx9pofxsRffXenyk1GyyFfERrSK0jrBGJlvi7rD6RoiUQi2eh57Bbe0VXw77+ncRnnuJ4OXvYu25oayLRftZCk98GR35pN73G8g6hQed4w8SnXuR4MTjpYU0nRQqvYAc2tvwfdJhAbU4hcqvIZL1rwRbSdWGbkUur0oWsEYOdGBk7aGWdywEfKC3+P/gip/XiWtJDDsYHfiI+vQ7UdMnNppYVUMIWZMSsIDKKcCV4iPzZxBDe5vqmaELaeTwgZYWn1kDY8jh/ejcWldKiAtpkbjr47Hs/hs/LLmPjgIKT34VnVkied9nkIMV+suUQfaPxo22zjwXx59KjAOlYvdWnVxehZxAB3lkz9C2GREdhRSe+//If/f/RmVXajso0YtKL9StN9dN1LLOO0r8Hf8RcGV2lgbmPM+r+s67rvv7wKeBI8Dtnue9Wnz9OPDnwBiwAPya53knq20ztJiwPtXfuOL3NPbhu2qeucuRScKTT6CjoKwx2EgBLqWhVS0+snAe++g9Nf8NW87h5xDJfmR/6wWt5eAe0CquZk4Nbl9wtwzW6HXYR+4mfPtp7EN3xinbRbRW+M9+DbV4nsS7fqGpLLJ4VfIywcknSNz+4S3bhbRQmSWsOuIkOigQLV6IdcG2exXi5yg8/Vfx6lja+M/8Dcn3/cuq7rT1lYvKLGIN7evASFtP1Wmo53lnPc8743ne4eL/13/O1WJEinyD2Aidver1PwH+o+d5x4H/CHyxxm2GVhLUZ0jU/BmIgrLV7KWQI5Pxw3RluvxOWpd3s1WMj1wA1Xh8RKsIIh9rdLIt7ichBHJoH3JgvGKF/3bi3PpBSPTgv3hZ1FFrTfDSd4guvYlzx09jT97a1DXkwDjWdbcRnn62dFV3ogeVXa6pJa3WimhtIRYMDf1tXYUAqNwK+Uf/DLVwjsTdnyRxzydRSxcIXn2kthMk+1Crcw25mbuBuiJPrut+Ang/MM4VsRLP836t0nGe5z1WPP7Kc+0B3knccRHgq8QSLBPFc5fc5nnetVMO2iWooFBXUVQ0fQIsGzlxpOZjNgLui1NYo9eV3EdIq2zQsZ3xEV3IIIcn25qCKYSIZ/oqQmWWS6fBbiMi0Uvitg/jv/ANojMvYB+9h/DEo4Snn8M+9h6cG97dkus4x99HdP4VgreeJHHrT20eg5CxEfOzQPkYTDetQgDU6gyFJ76CDvIkH/jVjQJSdcM5wrefQo4dqqpMIISMm31lFrEG93Rg1K2lnn4k/4F4VSCJxRoXgI8Ayw1e+zpgyvO8CKD478Xi65W2GVqIVhHUGBiEoj96+iTyqiZW1ZA9g4iewSqZWxaU6zpXrX5kaF9DFcKxym0KOTBa97H1EseKDiJ7BlBduDKxDt2JHDuM/9ojBCcfJ3j9B1jX3YFz1QO/GeTgBNbB2whPPYMuZLdsF9JGZUs/UuJVyDzRJa8rViEQ19Tkf/wl0IrUg7++SYXAue1DyJFJ/Be+WbE3yzoi0YtamY1ToXcY9axIfgP4kOd5r7qu++ue5/13rut+Ffj3bRpbSxgba19RV7NMTLRPgqFWlJ8nn+7B6t0aexgZ2fpasDRDLrvM0F0P01die8Vr7TlEsHix5HkBdJRAa0XPVfdFa0VuVSOHhzcZvJGRXnQYcHHpAv033c9QnePRShHlfHquuxmZbH1Vdbn3V4/fQuHS2yi/gNWzfeKSJd/f932a2W/8AcGr/0Ry8jhjH/xMyx/Wwb0fZvbrr2JPPcfg3ZszuLRKoQoZtIo23T/l5/HnzqFUGrlvYtsNCEBy6QRLT/wV9uAYYx/+r7FLxNfCD/0as9/8f4ie/1tGf+a/RdiVJ19hRpNIBjjDzcfqOvl8qceQDK8HyQHfdV3H87xnXNd9f4PXPg9Muq5reZ4Xua5rAQeKr4sK2+piYSGNUtsvCHc1ExMDzM1t/6xU59OEyzlkYfNHYWSkl6WlrTPG4ETcxS8/cBi/xPZKRP37iM6+yuL0PKLEg1trjS6kWUuubgpIaz9HtJxBFDYbkaWlLNHcaYhC/IGDJcdbCZVfRQ7uJbsaAa19L6q9v9reQ7R0Clbnm8o0a5Ry7y8M4tz6U0Rzp5Dv+DTLK+2obxjEOnALa689Rnjw3i0rSZVLk9yXYTEj4iSL9CJ66SJYTryvv701F1prnKnnWH3228ixQzj3fYa1IAkl72eSxDs/SeHJrzDzo6+RfOcnKp9bgT5zCnt/oilj2czzRUpR9wS8nsji267rrkfbXgV+y3XdzwEVNKLL43neLPAi8JniS58BfuJ53lylbY1cy1AercKixEdtRNMnEIN7664jgOqFiUKIWAX4qqW98rPoMmOM5s8Aom69Ih0UEHYSWUP6cjsQlh1nQEmJbiDltZ04xx4g9cBnEdUENJu5xk3vg9AnePupLduElSBcW4xjIbOn489Lsq8rxA21VgSvfJfVZ7+NNXkLyfd8ruq4rH3HsI8/SHT2BcJzL1bcNxaxjMq697qVegzJvydOxQX4n4j7kPxfwH9f7UDXdf/Qdd0LwEHgEdd1Xytu+jzwr13XPQH86+Lv1LDN0CK0X0CI2mY+cROrczVVs5dCjhwARPWOiVdnruRWEVbp/iNq/gxyuL74iNYKgjzW6EGE3L4iQWEnsCaOotE7pnd5q5BD+7D230T49lNbDamTJFpb7KpYCMRp7/4zf0P49tP03fpeEvf+fM1xQufmDyDHj+C/+Peo1ZmK+16OlXSnIkIpanJtFavb88BTAJ7nPUMdLXY9z/tdSjTA8jzvTaBkOkilbYYWUkcNSTT7dtzEqoZq9lIIO4kYnCBaukC5r5/WIq41oaf4e7H/SInaAh0FqMUL2HW2ntX5NHKoO5pfCTuJved6wpm34p4wZRp21YJWUbENcRgvMi2rff00WoBz0/uJ/vlNwlPP4Nx02UMuhEQkbEjKrjAgUKzsf/KrqMXzOLd/hOF7P1iXK1VIi+S9nyb3gy9SePqvSX3gX5Vd8QnLRgc5wotvIAf3IHuHm/pcdIKapmOe5yngm57n7dzSS0NJdJCHGvWHoukTkOhBNiEwt17hXq6RkRBsrvANCghN6fqRxQugIqyJozVfX4c+wknERYJdgnBS2HuuR4cFdBTUfJzWCh3EvTR0fjX+2/qGsSaOYu0/jkj0oXIrXTuzlcP7sfYdJ3jryS0rMumkusaIqMwS+R99CbV8kcS9P49z4/0NnUekBkje+2l0ehH/xb+r2MxLpgYQTg9qZYbw4ptxunOXuUCvpJ51/Y9d172vbSMxdBytdVy3UcMX9nITqxubKtqzRibBz6HLtV+V9qYe3hXjI3OnAYGsMT6itY77p4wc7JqH1Doi0Ys9cRT8bMWiNB366MIaKr+KLmQQiR7k2CGsfS72gZuwRg4UH0Ip5PjhOC5VSKNrkehvEToK4sLCGoyifdP7IcgTnnqmNdfWivDci/g/+TuCt56MOx2WkGSpFbV8ifyP/hO6kCb5ns9hH7ytqfFZE0dxbnmY6MKrhKefrbivkFb8Xqb60dkVoukTRLOnUPnuk9upJ2vrLPAPrut+kzh7auPb7Xne/9LqgRk6gAoRWtQmH744FT+E66hmL8X6akYtTSH7S9RuSGuTIakeH9lfcyGhLqSRg+Nt7fPRDCLVjxw/gpo7syE/r1UYu6tUBEIgnBRicD9WqhecVEWjLoTAGhhHJ/uIFs5dFjNsk0SL1ip+aFsOcmQSvXQR3TNQcYzWyCRy7zGCk09iX//uhgP8WmvU9An817+PXp0Fy4nldtZJ9MZuoqG9yIE9iKE98b8VrhfNvEXhmb9GOCmS7/2Nlq1i7ePvIVo4R/DK95Ajk/HkqgJCyA15fR3kUbOnwXaKbq+hrlA0rmcEPcRSJxAHzQ07naj2jK1o5kTcxGpvc21fxcBE3Blu6QJcd/vWHSwb5eewqBwfUaGPWprCrrHiWkcBSBs5VL/gYCeRvUPo8UPo+XNoKdDSQfaPYKUGY8PRQKMskejB2nsjamU67hOebK0hjVd6WdAKObwP2T+GkBYRArU8VVVfzLnp/RR+9KeEp5/FKdGytxrRwjmC1x5BLZxD9I3GmmAHboFCBrU6i1qdQa3OoldnCc+8sMnAiN5hxOCe+KE8uAc5uBcxMEZ0/lX8n3wLMTBB8oFfbakSgRCS5N2fJP/PX8R/5m9IPfSbNSeLCCeFcFLxqm9pCrV0CTk4juwb3dY4Ss2fSs/zfr2dAzF0Hh0FaF1aduRqoumTyNHrmq55ENJCDu+vkAIcy2RoFcZdAsvER/zZs3F8pAZ9La012s/EMuldMHurhtU3gnaSIK2WKRELacUz32Q/auEcqtCa+6BDH4Icom8YObRv03jlwFjcmTC7jKjQ/9waPYjccwPBySewr39XzQ9EtTpH8Pr3iS69Cck+nLs+jn34nZfdlql+rFQ/1p7rL49XK3R2ecOwqOJPOPNWXMQBIGRsFCeOknz3L7VFOkcke0m86xco/PhL+M9/ncR9v1yXy1hYDsJy4tYHa3NEKzOIvpHYiG9DEknNnybXda8vt83zvFOtGY6hk+jQpxYvh8qtolemsVsklSFHJmOJDBWWfLALNEThRnyk1BD9S6dA1Bgf8dPIvjFkhYdZt9GuIkWrdwiZOI5Qi6jcHCLV31DMS6sojtE4ydhAl3AXCiGQIwfQQS5WV64w63Zuej+FH3+J8PRzOMceqHhtlVsheOOHRGdfBNvBueVh7Bvuq8kACSERfaPIvlHYf9MVf0+ITi+gVmLDIiwb+/h72jrxsEYP4tz+EYKX/4Hw5BMNrcaEtCA5EE+W8mmizBIkeol6b4gniR1Smq7nLr3FlU2pY9b9It0VuTTURlCoKWNLTZ8AaLh+5Grk6EF460nUykxJ/3AsJx9WjI8ULr0d9w6pMlvUUYAWEmt4Z8pztwNhJ0mO34jMSfTyNDrRU/MqIHZjZdCAHJ1E9o5UrMUR0sIaP0w4fRIqtBCwxg4hJ44SnHy82A6ghPKBnyM48Rjh208DGvuGd+O4D7ZkBi6kHRfaNtBrpRns69+FWjhL8Pr3kaMHG5bpF0JAcfKhwwL5i29B73XQoSLOelxbmz4truvuA/4D8GirB2XoEDXWkETTJxE9Q4iB1gQbr6xwLxdoVEGhfP1I6OPPn8e+oXoSofazyPEjdQlM7gaEkFhDe9GpfsL5c1BU0q2EDvIQFhB9o1hDe2s2PsJOYo8fIZp5C12hU6Rz0/spPPqf4zjGxMOXrxsFhG8/Q3Di0biQ9Lo7cG5+CNnX+t4xnUYIQeIdnyC/PI3/7N+SeujzTSeDCDsJsvY08lbQcB6n53nTwL8B/o/WDcfQSVRQPfU3bmJ1Cmvf8ZYtk0XPUNx/YbFcnMRG51cr1I+cL9aPHKl4HV1II/uGsRqQc9ktiGQf9r5jiJ4BVLZ0zYmOQlRuBaSFte8Y1th1dQd2RaofMXKwYj8Wa/wIcvwI4cnH0GGAVhHhmRfI/9MfEbz2T8jR60g9/HmS93zqmjAi6wgnRfLdv4j28xSe+1rXpfbWQrMOQJdSa1BD16OVitN/ZeW3T82fjZtYtcitBcW01Eqtd604BbhcfCSaOwNCIkfLx0e0CtGANbS/7D6GGGHZ8b1M9qMXp9B2Is4M0ipuQCUlcuwwsre5vvNx8D2Lyq6UjVc5N72fwmN/zvKTXyc/fRa9NoccmSRxz6ea6s7Y7cihfSTu+jj+C98keOOHJG55uPpBXUQ9wfZHuaJ2hNiA3Ar8b60elKEDqKCmzN/LTaxqrx6vBTl6kGj6ROkgrLTRuZWyAWc1fwZn/GDFGgCdzyDHD3e9tES3IITA6h+7XHOSXY6D5QN7kIMTDaUdl7pGHHzPlw2+y/EjyLFDZE8+h+gfI/GuX8Q6cHPXtSduB/bhdxDNnyX0fow1dghrb80qVNtOPZ+OP73q9wzwkumjvkOJQrSgYupv3MTqBHL8aMtjDBtxkuWLm5oBQbFTIrp07/awgFqaovf291POAaBVBHaiIYXi3Y5wUlh7bkBll5GJ3pYr7gppY40dJpwpHXwXQpC4+5P0BgvkBo92nQJBu0nc+THyyxcpPPmXcU3O8IH4Z+QAYqA7+rCUoqIhcV33f61y/B2u65rK9h2IjoLN68tS+6zNo7PL2Mff0/Lry+EDQDHgvmdrkaPsG9vyGoBaOA9akdx/A2WVh4JCXPG7C2ax7UBIC6u/9P1vyfmdYvB99m10amvlu+wboWdkknyd/WWuBYSdIPnArxK+/TRq6SLh+Vfg9HPxRmkjh/YhR640LuNNuRtbRbUVyZWtbVPAp4FnieVSDgHvAr7WnqEZ2okOClVnN9FMMe13b+viI+uIRA+if6xswL3smObPgJAk9hwmly4tRqh1iOzZOTUjuxGR6kcM70ctX4qTLwwbyJ4hErd9GCgWUGaWUEsXUcsXY+Ny7kVY1yazHOTw/uLKZX9sXNo4CShHRUNyZTW767r/BfiM53lfu+K1TxH3bzfsNGrI2IqbWMUy1u1Ajhwkmn0LrXXNqwc1dyaekTlJoPSMVWjdFU2QDJWRAxNxUkV2tWv1z+pFaxXX2ajY8SoSfU3Fl4SQiP4xZP/YhqSQ1gq9thAblnXjcua5y3187AT6oIv9gd9u+u+plXr+wp8GfvWq174F/FnrhmPoFLF8fHlDogo51MI57GOtd2utI0cnic6/FAfWazBWOiyglqewj5WvANZRUNSkMnUj3c568D2qEHxvhLgvSz5uzduhZIsNvTEVIgb2YA2MoQpZ1PIUOsghkn0tc0EJIRGDE8jBCTh0Z3x9FaHT8xsrF5norBRQvZXtvwP84RWv/RbwdktHZGg76/LxlSqC81MnmmpiVQtXFibWsupRC+fiMVWqHwl9xEDnl/aGxtgIvk+fqFj5Xo31rpcb4px9o+j8Kiq3Gp/TSbVP9djPxZ+7/lHk4GVFYctOIHv6UWvz6JUZtHQQyfZUSwhpXa7MP/wOBpIBmbZcqTT1GJL/Bvi667r/IzAFTAIh8Kl2DMzQRlSEQFecIeUvvAlOc02sqiGH9oK04jjJ5K1V979cP3Jd2X20irBarG5raC/CSWKNH0bNnS4ZfC+H1hrCAjryAVksPh2GZG9R/HNfrAC8No/OraClBYnelq0MNir9ewaRE0dKrqiEtLGG9qF7R1DL06jcEsLpvebS0uuRSPmJ67rHgPuAA8Al4EnP8zpbi29onigAXX52prWicOHNpptYVUNIGzm0P5aUrwE1fwY5Mln2S6i1jvOZE61XazW0F9kziK4x+K5DHx3k48lQajAOMCf7tiSPCCE2FIB1UEBlFlFrC2gUwulpfPUT+oRpHyw7rvKvQetLOEmsicPI/BjR0lS8Uiox5p1KXY60otEw2lo7HK3CslXjELuaVD5DooXV7OWQo5OEZ15Aq6jil0oHedTyRezjD5Y/WRTEtQ87QCresJUrg+9XC2bEDb5yoFTcpGp0Mu4eWKvel5PEGt6PHJxAZVdiGXk/i7CTtTdGi4L4GCdFavI4mTR1u8tEqh9r77HYqC1fintLJ/p2fKq6+cbtQnQYUKkLSTR9stjEqv2VtXJkEt5+Gr02hxgqr9C7ER+pJJMRFaDPSKLsVDaC734O5eeKGVA5tI5AOsjBvciewab6gwhpY/WPxVpdhWxsUHIrsQp2oqfkClyrEF3IxQoPRakYq3cQkSmvG1Z5DBJrYBzZMxhfP72ArsOgdSPGkOxGqmVszb5FYuJQ23piXMlGwH1xClnBkKzXj1SK2Wit4xa0hqapJyW7lQhpY40fQeen0IVs3B2yd7gY22jdeISQl91efi5eIaQX4787Ga9q13uuYFnI0QNVJfPrHoOdwBo9iO4fJVq6iMqtNJ0uvF3svBEbmqdCDYkO8qilSyTvepjS5X6tRfSNgtNDtHQB++jdZfdT82eQowcrxEcUIMDeubO6biEIFWenV9k31kd/T+fTqIWTJLXnZuy+XEsf3GWvl+jBSkwiB/eissuo1Tl0lIknLsP7kP2jbXWXikRvUZZmJU4X9rMNNxzbLowh2YWoIF/2gawWzgOaxL7ry0uQtBAhBHK0ghIwl42b7VaIj4QBMtnfkQfPtYxSmvOza2QLIWen17jx4BBJp/MBYWknELLQ0WsKy45dTv2jUMiCk+xYPZIQAqtv+Ip04VnUuvtZ6NgVLeTlH7n+f9EVBscYkl2GVirO1y9T/LVJgmQt7MiY5Mgk4czbcW1LiR7lauEcoLEqKBDryEcMTrRxlLuD6cUs6VzAYF+CXCHk3Mwa1x8YxNpFBnrd7bUt115PF+4bhSjuyYJW6CiMK9dVGGddqgitgrhvC7GaA0KABi00dDjeYgzJbkOFFX3N6ym20k4Qlwm1H2tkkhCNWr5UMpgezZ0GaVWMjwg00siiNMXCap7Z5RxDffEsvCdps5YJmJrLcN2e/h2fWbSTEHYC7ERFde51tFZxNptWUDQ8qdE+Mmuda5C1e6YZhpgoKCv6G0uQXESOH+7okC4H3EvXk8TG7WBZN4PWCi1kx2dh1xLpXMDUbJrBXmeTwRjoc1hKF5hb6YSj09AIQkiEZSPsRCyGmuzD6h3oqJvXGJJdho5C0KVNSSzRXiXFtg2IZB+ib6RknET7OdTyNLKSLEpQiNNCzYy5IQp+xNnpNXpSNlJuvYcDPQ7T81lWM52NWRh2DsaQ7DJ0WCg7U4nmz4IQFSVI2oUs03o3Wo+PVDBuWgVGirxBwkhxdmYNS4Jjl/5cSCnoTdmcm0mT9zvj7jTsLIwh2W2Ehbj4qgRq/gxy+EDFFrbtQo5MonOxyN7VY6oeHwFhZFHqRmnN1FwGP4hIJSuHS21bYtuCs9NpwqhzvnfDzsAYkl2G9ksXI+rQj1V4OxwfWUeOxIbi6lVJNHcaOXpd+fiICmNV1RLZXobKzC5mWU4X6O+tLcU1lbAJQ8XUXAZVxj1q2J0YQ7LL0GHpYkS1dAG06nh8ZB05vA+E3GRItJ9Dr0xXlo0PfNObvQEWlnPMLOUY7KuvTqKv12Y5XWB2F7bBNZTHpP/uIrQKEUqVLGCK5s8CAjl2qPMDA4TlIIf2bjIk8ZhAVoqP6BB5Vc6/0ppL8xmUhp6ERcKxsC2JYwtsS+76oHw2HzI3n6W/x27oXgz2OcwsZkklbIb7zUrQYAzJ7iIKKZeYHsdH9m2rcJwcmSQ8/zJax8Yujo/YG26vUpRqq7u8VmB+JU/SkaxkNEpt1o1KOhbJhCTl2KQSVuz/tySOJUtmLV1L+EHEmelVxsf6yYalA+dTc2mW1nxuPTpS0tAIIejvcTg/u0bSseipEl8xXPuYT8BuIgrjKtirXtZRgFq8gH39u7ZjVBvIkYNw+jn02jxicA/R/Bnk2HVlRexKtdUNQsWlhSz9vXbJamytNZHS5AsR6VyAiijeEA06DiqnEjY9SYuehI1jS5yiodnpK5lIKc7NpIHYmF7tnIqU4kcvXuLxVy6hNbz09iCfeM8RBnq3yulYliThWJyZXuXGyeGyGV+G3YExJLsIFfqlX1+aAhW1NNCuG2ibemXrXZHqR69MY9/8UPkDwgJiYLMsytxyDjRlJT2EENiWwLYgydZYUaQUQRiRK4REUb54UKw+0ZOIZ9+phE3CsTaMjNwBBkYX3X05P2SgRHB9bjnHNx49zaWFLHfdOMbe0V6+//wUf/LN1/j4/Ye55cjolmOSjkU2F3Jhbo3D+wZ3xH0wtAdjSHYTYQEhtr7lav4MANZYawyJjgJ0bhXqaDwExL3W7WRs2IoutsrxEYV1RXe6XCFkbiXHYI1ZSKWwpMSSkLjqFFprwkizkvFZXC1c7saI2HDv9CQtUgkbx5JEqruymuZWciysFbbcG601z745xyPPncexLX7hoRu4+fAIADdMDvGNR0/xtz88xR03rPDRd19HKrH589PbY7Oa8ZleyHJgvHqnQMO1iTEku4kgD1aJWfj8WcTQ3rJCjvWi/TxicAKdXa7PkAgZNzZamoozyyx7Y5Wy5Rrr6afF+hGtNRfnMySd9righBA4ttjiwtFaE0WaTM5nJa035GdmVgtkMnl6EjapdQOzTbGY1UyBS/NZBq6SP1nN+Hzr8TOcurjKjQeH+MQDRzalAo8Ppfj1j93EYy9P8+OXLnJ2eo1/8d4jHNk/uOn8A70Oc8s5UkmL0QFTz7MbMYZkF6FLFCNqFaIWz2MfKd8LpK5rqCjurji8nzCfjjPF6ujlIEcOEp58nCj0i/UjZeIjYYBM9m2ceyXjk84HDPXVbrhagRAC2xbYVxmYof4kge9TCCOyhYCoRCymE0YmVvBN09ezWf7kxRNz/NUjHpHSfOy+Q9ztTpQ0wJaUvP+uA9w4OcjXHz3NX3zvBPfdupeH3zG58TcLIejvtbkwmyblWPSmOt/DxLC9GEOyS9BaoUMfkdycrqmWLkIUIlvk1sLPIgf3xOm8g3tQSxcRPYPVjysiRyZj2ez0AvahO8vup4MCpOL6kTBSXJzP0Jfqro/zupuMEv08IqVqMjJJx8KxrWJcJzY2tRKEsfzJupECyBdC/uHpc7xyapED43188sGjjA1VX0VMTvTzr372Fh55/gJPvTbDqalVfu7Bo+wb6934W1MJizPTaxw7OIRjd76HiWH76Ipvnuu6Z4B88Qfg33qe9z3Xde8Dvgj0AGeAz3qeN7sdY9zxRGEsJXLVrHMjPtKCQLvWGrSK+2EDsncYtXxpI523FqzRy66savER2RM/xOZXcoUU9qwAACAASURBVESRxk7tnMyh2oxMiFKX3WVokJYg6UiSjr2lRsayLgf+ldJcmFtDRZrenvhrfubSKt947AxrWZ+P3HeYe46P1dVnJOFYfOy+wxw7OMzfPX6GP/32Gzz0jgPcf+s+pBQkHIswCjk7neb6A4PXfCq14TJdYUiK/Lznea+u/+K6rgS+DPxLz/Mec1333wO/B/zGdg1wR6NKp/5G82cRg3sQyRYESv0com90Iy4iLBs5MI5OL0CytkZBIjWA6BlE+znkyIGS+2wYJjtF3g+ZXcqVzETaqVw2Mlu3KRWnL2dy/qYamfX31rElqaJxWsvGDarCUPGDn0zx1GszjA4m+fWP3cTtx/aytJxpaHzHDg7x+X9xK99+8izff36KE+dX+LkHjzIykKQ3ZbOW8bm4kGFsMF7pCEGxw19RF01cntBs3WaMz06kmwzJ1dwN5D3Pe6z4+58Qr0qMIWkAHW0tPtMqQi2cwz58V2suokLkwNiml2T/KNHqHFrrmh8S1qG7IMiXj62EPlbvKAjBpYUsjr39NR65Qsi52TTnZtY4N5PGDxVDvQ6jgylGBpKMDiYZHUwx3JfAqsM9dTVSCqTcGvSHeEWolKYQRiilGeiNK9C//uhpZpdy3ONO8FP3HCTRgta5vSmbn//A9bxyapF/eOocX/zma3z03Ye488Yx+nsdltYKLK3mY0txeYRsTGXWs9500YIUO/xpDVLA8FKObLqwkXJt1Am6G6G7QHyt6NpaIf5IPQb8z8AHgd/wPO/jV+yXBQ56nrdYw2mPAKdbPdadSrA8Q7B4CatnYOM1f/Ycc3//BUYf+iw9R+9o6vyq+OBPHXS3bCvMnEHl1pDJ3qausU6UXcWZOERW9nPy3BLD25AptLxW4NTUCqcurnBqaoVLC/Hs3rIEh/YOMNiXYH45z/xKjoIfbRwnBYwMphgf6mF8eP0nxcRwD6ODPS0r7FNK88MXLvCdJ0/Tm7T55Q+53HJ0rPqBDbC4mucvv/cmb0+tcPsNY/ziB4/TX6KIsVa0jt15UaQJI0UYKSKlL6+mBSTXi0aT9uXCUcfaFeoEHeQo8eS9Kt2yInnQ87zzrusmgT8AvgB8vRUnXlhIo7ospx9gYmKAubm1jl0vWlxE53xE/nI9c3D6TQByqX3krxLhGxnpZakOYT6VW8GaOMpaib9Jhz1EC1OIFnXC1fks4wdSvPTaNLYlWIqi6gc1cz2tWVgtbKw2zs2ssZyOizsTjuS6iX4eescBDu0bYHKsD9uWjAz3sbScQWtNNh+yuFZgcTXP4lqBpdUCi2t5zk6vkvc3j32oL8HIQJKBXgcpBVZxBWIJsbEasUr9Ky7/LqXgeW+OczNp3EPD/MwDh+lLOZtcWevjuxqlNH4QEYQKKeMamasz0q5GAL/yUzfy1Gsz/OCFKX7vL57loXdOMjaYor/Xob/HIVnnKmhkuI+V9ObP3/q3WGvNWt5nOdKESm1RJ3Aci56Exehgiv4epy2rl05/f+ulmfH9/+2daZRkZ3nff/fe2pfurt579k16GSEhJLEZxBonEA6rMQaOMfgQE7B94g8JST7Yx+ED5JA4H2wHcyBOwmIcYpZYxhgTzDEgEAGxaISEpHekGc1olp6Z3ru6tru9+XBv1fRSvU11dfe0nt85far71r23nr711v3X+z6bbVsMDGyuZ/2uEBKt9YX4saGU+gTwVeBPgJYHWCk1CIQbnI0Iy/FWlo8PJs9hFQaxMpsbNMsxgQ9OatXzWKkcpHMYr9FxrxMTBhjLYbJi8PyQbHrrw33D0HB1psozVxc4f7XMhasLVOrR0mAuk+DwSJEX3zbCoZECI6Xcmt+ALcsin02SzyY5OLzy+tQafktgpucbzJQjkbk4UWn5Q1qP5vrf65FK2rzpZUe488TAujdS3w+pewEmNFi2RW8+RU8uRd0NmKu4lCsuYOHEjv52S3OWZfFLt49ybH8P993/NF/7wfklzycTNoVsJCrFWFxW/OSS5NLtuzQuf631qhPU3YCnx8tk0w6j/bmuCYoQseNCopTKAwmt9ZxSygLeCZwCfgpklVL3xn6SDwJf2kFTb2pCr7Ek4bDlHzlwR8fnNm4Vu3//mpFZdu8IwbWnO2+a5bsEyTzXJisUsp052I0xzJQbTMzWuDZbZ2KmxsRsjcm5eiszva+Q4vj+Xg6NFDg0UmSgJ72lN6RsOsH+oQL7hzYu5sYYjIlumEuEZtFjPptctZiiMYZ6w6dccTGWRSbpMNyXpZBNkkknWpFfvcBIfw7PD6m7PuWqx1ylgdcIwBiSCZt00lly4x8p5Xj/G29jYq7GQs1joepFjzWPhZrPQtXl6nSNM7V5Gt7KmaRlQT6TpLeQJpuyyccik880BSfR2pZJOavmvjgpSKccXE8EZTvYcSEBRoCvKKUcwAEeA35Hax0qpX4D+JRSKkMc/rtzZt68mDCAZSG44dwV8N01Q2w3dG4TRu1512l1a6XzkEjeUA2uJa8XekzUe3B6LMINroUbE5U2mZitcW2mxsRsnYnZ6HFxt7/efIqhUpbj+3sZ7c+2fB27DcuysCywbaddYFdbgiCadQRB5KcZ6E9wcLhALpNc1/ke1RRLUcyl2DeYx/UCam7AfMWlXHUj0TXRLCiVjHwUI6UcI6W1bfL8IBKXptAsEp2GHzI7X+faTI2Fut92FubYViwqiZbQNEVmoDfN0dEeUskoRNr1As6Oz5NPJxgRQdlydlxItNZngbtWee4HQOdfmZ/tBD4WSz+IYavXR4f5I24Vuzi4agZ6E8uyowTF6UtYHcwk6m7AjG9xaDjJbMNru89sucETz8wwMRvdiCbmarjedcEo5pIM9WW5Rw0xXMoyFDu7N7uOv5sxxuD6Ia4bYixD0rEZKGYo5FLRt/OR3hteQ2/enHvzKYwxNLyoyOV8xWW+6mGMiXw2TuS3iR5XzlaTCYdS0aFUXDlLXezDMcZQd4OWyFQWzXCav5erLuNTVSp1j2b8UE8uyfNvGeSuWwbpLaRbgvL0+Dy5dILRgTz5zI31ZBGWsuNCImwDgYcx1pIcknDyHFa+H3sTWefLMcZEVYPzKyvDtqOVoBgGWG26NK5HEPhMzftkBrOrfvgXqh6f/vsnKFc9cpkEw31Z7jw+uEQwut0/o97wmas0KFdjoYujkCwsLDuaEdiWhRU7yW0rcnCudUMLYx9J89GYaJsxUSOvxRFN0YtZFDJJhoay5DNJUl2sQZZJRRWRS8UMoTE03CiZst7waXghDc/HXxEQYXBsm4RzPUhgNfssy4qLYiYY6ls7YiMMTasszM9OT3D/w+Pc//A4J/b3cPetQ9xysJeefIqGF3D28pwIyhYhQvIswIQ+WNdnJMaEBFPP4Ow72dmJvTpWtnfDfg/LdrCLQ4Tz17AyxfUPWMbCfJmqkye3yswhCEO+/N0z1BoBv/WGk9tejdbzA6r1gGIuyXMO9zMzXbnuII9FoBXOGkTBAkEY4gWGwAvXdKLbtkXSsUk4Dsm4XEoyYZOIy9i3i+baibLu9qKb/mJCYwiCED8weEGI74c03ICGF/24sd+lmXdiJxtUah6WZWHbxILbFOLVRceOl7tOHilx8kiJ2XKDh56a5NSTk3zx22coZJPceWKAu28dolRMi6BsESIkzwKMW8eyrt98zdxV8Ood92c3gYvTs7nWvHa+RDh3dVNlUyCqpzUzWyEzPLTqPt/6yUWeubrAW19xdFtFJAhCKvWAdNLh2L6e1lp9NbW5WVdTbKLEQmI/SCQMN/vNzbYs7IRDMhHVO1pOs0x/M2ekty/HVcfC80P8sLk9xPUiEb5exj+a6TVTHZtaZNlRv5S+YppX37WfV965jycvzfHQ6Ql+8OgVHnjkCkfHitx96xDqUB9BaDhzaY58JsnoQE4EZZOIkDwbWFb1dyO90NfD+G7Ulje1uSRDK5HCLvRjqnOwibIs0/N1DBZOsv3SxiNnp/jRY9d48W3D3HGsO4l3ywlDQ6XmYzsWB4by9BXTHc0CbMvCdp6dN6/lZfr7ezIEq/jA4PpSXzNKrbXsF0euuX7AbLlBte7jOBbZVAJ1sA91sI/5isuppyZ56PQkX/nuWXLpBM+LZymBCWNBSdBXTEdNzOIGZiIsqyNC8izALMshCSfPYeX6sHNrR1qteU6/jt1/6IY+XHZhgGBhasP7112f2XKVQi5L0Cbi6+p0lb994DyHRgr88gtW7+++VRhjWgUVh0pZBnuzm6rKK3SObVvYRLkkqzFSylFrBMxXomRQP4xClou5JK+4cx/33jHG2fF5Hjo9yYOPXeOHv7jKoZECd986xPF9PVyZqsYzn8iPlcskyWcSZNIJig2fMA4q2AoWL/35QYjnhzhxW4GboSyMCMkexxiD8RtY6WL8d0gwdR5ndGUpkw2fMwzAsm/YUW+lsliZIsarR7OatV7LGCbn6qQtD5MZXvF8reHzxW+fIZt2+NVXHt9UNdsboe76uG5IqZhmuD+3pyK99hqWZZHLJKKgi1KOasNnplxndsHFGEinbE7s7+XE/l4Wah4Px7OU+773NAknCmEeG8wx1p9jpD+HbUG17hGEMFvzmZurkUs75DNJspkkqUQU/txuDAZhJBJBEPnEPK/pH2oGI8T+sZafyLSCJiBatkvFGfvN2mPN9gAJZ+eXPkVI9jqhj2WuDzQzPwFuraOy8catYveOYnVw07Z7hvGvnV1XSBbqHtWGT48DfmrpUpgxhr/+3tPMVVze+zq1pLvfVuP5IbW6Tz6b5NCBojRvusmwbauVQT82ELJQ85iZbzBfcbGwyKQdXnbHGC+9fZRzV8qcvhDVT/v5mSl+8sQEEOWtjJSyjA3kOXawj96sQ8JJ0ygHBLO16KZvDOlUglw6EYVG+5FYLAmkMFEFAce2Yv+aR7kWhU/PVVzmF9yo6GchKpdTKqbpK6RIOhaVRshc1Y2qPsensywr7l0T1R9LJR3ydW9ThVI7RYRkrxMsjdgK4v4jN+ofMSbKx7DzfZ3Zlc5jJdORr2WVdrxBGDIxWyObsiGwMIml0WHfPXWZpy7O8fqXHGpbfmQrCMKQSs0nmbA5PBolKO70tz+hMxKOTV8hTV8hjesFlGseU3N15isujm1zaKTA0bidsDGG6fkG41NVxqcqjE9VefTpaX56OhIX27YY7ssyNpBr/fQ7NuWaS2gMtbrPQs2nXHOZW3CZr8aPsWgsr7UGUZ5TKmFz+sJsq8JCk958ir5YXEqFFKVihr5CimKYwvMC5haiicxs1WeomOp6qHsTEZI9jlmWQxJOnsfK9mDlblAI3Bp2vtRRdjrE2dk9I4TTz6wqJLPlBmFgcJyAMJFb4uf5xdkp7n94nDtPDHCPWj2S60YxJnKkW5bF/sECpWJaqsruQVJJh4Gkw0BPppVUOTVfJwj8Vk2vvkKKgd4Mtx+L8qWMMYSWgz43yeXJKlemqzzxzAwPPTkJXC/zsjg5skkmFSVy9uRTHBwp0JNL0VuI/u7Npyjmkq2lMWNMNHMqN5b+LDR46uIcCzVv2f9iUypEInN0fx9veMnmIio7QYRkj2N8t9USwhgT+UeGj9/4t+rQxy5sTVSUne0htBNt+7q7XlQxN5dJYLkVwuL1pMfp+Tqf/8bjjA3keP1LDm/pDCEIQmqNAIOJSr33bl1pd2F300p6LGWpN3xqbkC17lGp+1QbHk1VcByboYEsJw+XuO3IdXGZW3AZn45mLgtVj2IsDk2R6M2n2pajafaR8UNDww0JQh+wWktgQ31ZRvtzJJaVyHe9gNkFtyUwswvR4+Rcnbo3LUIibCHe9dBfU56ERuWG/SPGq0cdDFNbUw/esu22fd1dz2dirh47EQHLYOKwX9cL+OI/nsGxLd7+6uNbdpNvJsclHJvh/ix9+fSWNIASbj5syyKXSZLLJFtdHps5LK4fUq152I7FQs2n2azLsiIhUgf7OHl4aZExE4cpB2HUUqBZkaBVGN+KyvWnEw7prEM6FZXuN4bVnfIx2bRDIVvgyFgxKkcT5xzZie29tYuQ7HX866G/wdQ5oAP/iN/A6d/a8Npm2RTPj74Bzi64NLwAJ3YgRp+4yD9ijOFvf3CeibkaH3jLHfQVOqskHJXTCAjCkGI2KkiYzyZ3JCNc2N04tk02bZNNx8U9h4qUsgk8PwrVrTd8Kg2PSs0nCEMWd4K0rKiffTrhkMk7pBKLI642F3XVLky4VR3Ai+wwGHp7REiELST0GlixkzqcPB/NKDZYG2sxJvCiUihb1OUQog9F1TXMullq49cIkzlSKZt8ZtGwDFzCVAEsmx/94gq/eHqa19y9H3W4/4Z7jrteQN0NcWwY6M1QKmRIbzILXRDs5kwi6VDIJhmMc/b9IJq9WFZUOXkrKxMsrhDQjubsp1TKMz+38cZ0nSJCsocxYRCF/9q5aB128hz24JEbGtTGra3bc2Sj1OKihtNzUZJY2iqQT09gUs6yHt9ghR5heohzV8r8w08u8pxDfbzsjtFNv2YYGmquTxAYcukEh0YKSxybgrBVNGcaO0EzQCCTTlDexpm1CMleJvRb0VqmMo2pL9zQslYrAbGDTHjPDylXo4iYWsPHsW0yaYecbQMpQrcP21to+UKuvzjMuQm+8p2nGOjJ8OZ7j25KCD0/pNaIInAGejKUiultC4kUhGcL8onaywR+q5hdGOeP3JCj3ati9wytiKxajzCMSok0Y/TBkEk7bZtFmXw/TM8t2xjihzZf+t4FPD/kva87vuElqFrDx/ND0smogVMxl5IyJoLQJURI9jAm8FqBIcHkuSgJsDC4uXNEjS/W7TkShnF58LhEeLMXeRDXNyrk1q6mapJZSGbBdyHOK7F8l7/TIZcmq7z91ccZXKcXRZNy1SOXjnqrZ9NSxVUQuo0IyR7GeA0s24n9I+dxBm8g58KrYeVLWIlUq5eGHxhcL6DhBtS9gLrr4/thHKhigQHHIer/vYkkviA/RGLmPGEsJD87X+en51xedsfoipDKtv+vMZSrPn2FFAeGCpJAKAjbhAjJXsZrgO1gqjOY2vym/COVusfsQh1vYZ5qsUStPE0YLO4BEZWHSDgWqaS9JX4Hk8phnBSEPpfmDF97zOXoaIFX37V//WONYb7qMdiTYWwwLyG8grCNiJDsYZrl45v92TfqH1mouczP1qjPl7GcFCaRIWvb3f+Gb9kEhUHqE5f5qwcb5NMWb3vV8XVfNwwN5arHSH+WkVJOlrIEYZsRIdmjXC8fX4j8I6ksVnH9mlSuH3B1uspgfwE7EeL3jWDWavqwhTTcgFNn6zz4aJ1Kw/C+Vw2vW2U3CEMWaj77h/IM9m5Nxr0gCJtDhGSvEgZYRFm1kX/kyLo5IKExXJ2uRe1drRBjJzCp7resnZqv8+PHr3HqyUlcP+TgQJo3n/QYG+nHrHGc74dU6z6HRgqUimuXoxcEoXuIkOxV4oitsDqLqc5in3jJuodMz9epuz75bALcGmF+MGp+3QWMMZy9PM+PHr/GUxfnsG2L5x4p8aLbRthfSuHMPkOwRq8S1wuouT5Hxor05DsrlSIIQmeIkOxRTOhjLAgnmv6RI2vuX6m5TM/XyWeTEAZgWYSZG+uAuBauF/DzM1M8+Pg1Jufq5DMJXnHnGC9Qw0saUwWlw0v6zC+m4QUkvIDj+3qlwZQg7AJESPYoxvewsCL/SDKD1bOyTW0Tzw+4MlOLci4IsbwKjD4H3K0bHjPlBj9+4hoPnZ6k4QWMDeR4y8uPctuRUvtEwVVEpNbwMQbU4RKVcn3L7BME4cYRIdmruLVWxJYzcHhV/0hoDFdnalgWODbYjQpBYQRyveDeWFHEJsYYzl0p8+Bj19AXZrEsuO1wtHx1YCi/6eiqaj0qrXJkX9TqVoREEHYHIiR7Fd/FNGqYyjT20ResuttMOap9lc9GDaSCbF/kG+kAzw945Ow0Dz5+jWvxTOfe543yAjXctjzKRlioemRSCQ6PFqXRlCDsMkRI9iihVyeYuQCs7h+J6mA1IhHxapDIEBZHV1Tg3QieH/DUxXkeOzfN6YtzeH7ISCnLG192hNuP9nd08y9XXAq5JAeHi1IvSxB2ISIke5CgMovlNzBTFyCRxupbWXbdDwLGpytk0g5W6Ebbeg8s6Yu+Hq4X8NSlOR47N8OTsXjk0gnuONbP7ccGODxS6Cg58HrJk7SUPBGEXYwIyR4jKE9ipi9BJkpEtAcOrfCPNP0iNpCwQmzPxe8/Cs76EVCuF/Dkxevi4QchuUyC5x0b4OSREkdGi1tywzfGUK54DPZlGR3ISckTQdjFiJDsEYwxhPPXCGfHsTJFcKuYhSkSh+9ase/sQoNq3SefcbDcMn7vwZV9QBbR8AKevDDLY+dmeOrSHH5gyGcSPP+WAU4eLnF4ZGvEo/l/NLyAhhsyOpBluE9KngjCbkeEZA9gTEg4O05YnsTK9mBZNn5cX2t5ocaa60f5G+kEtlsmyI9gMisbVtUbPo+cmWqJRxAaCtkkd90yxMkjJQ4Nb+1SUxCG1OoBoTH05FMcGMpSyEqOiCDcDIiQ3OSYMCCcuUhYmcPK9LS+vYeT5yGRwu4ba+3rByHjUxUyKRvbXyDI9K6I0Jqer/OdU5d5/PwMQWAo5pLco4a47UiJg8Od+Tza0YjL0Sdsi+FSlt5CmnRS+qcLws2ECMlNjAl8gsnzmEYFO7s0Cz2YPIfdfxArdp4bY7g2UwUDybABiSxhcawVoVWuutz/8DgPnZ7EcSxeesc+Tuwr3lC+x3qEoaHWCAjDkHw2ydhYnkImKc50QbhJESG5STG+G2Wt++4KETGNCqY8QeLg81rb5hYaVGo++XQIIfi9+8F2qDd8Hnj0Cj967BphaLhHDfLy5+3j4L4+ZmY7S0hcjusF1N0Q24LB3gx9xTSZlAxBQbjZkU/xTYjxGgQTZyE0WOnCiueDln8k6j9Sd30mZuvkUha2H0VoecbhwUfGeeCRK9TdgNuP9fOq5++jv2drq+iGoaHm+gSBIZdOcGikQDGXxLElH0QQ9goiJDcZxq3iTzyNZTlY6ZWRVsYYwmtnwElgl/YRhJFfJJW0sIMqbnE/Pzu7wP0PX6Zc9ThxoJfX3LWf0YHcltrp+QG1RoBlWQz0ZCgV01vSRVEQhN2HfLJvIkx9IRKRRBorcb3UiAkDwslzBOOaYPwJTG0eZ0yB5XBtukpoIBNWeGS2wD8+cIGp+QYHhvP8yiuOcXi0uDW2xWG7rhcCkEklODhcoJhLSTa6IOxxREhuEoLKLGbqPFYqh+UkMV6d4OpTkXhcPR31Z3cSOEPHcU6+GmffSeYrLuWax7WZKt887TM+O8lQX4Z3/JMT3Hqgt2Mnuu+H1L2AMIx89r35FGMDaXJph+Q2dVUUBGHn2fVCopS6FfgsMABMAe/RWj+5s1ZtL81sdWNCgmdOEYxrwomno74hqRzO2EmcsefgDB9rzVTqrs/D52d54MkKZ6cCevMp3nzvEe44NnDD0VGLZx2WZZFOOgz3RfkemVRCoq4E4VnKrhcS4JPAn2mtP6+UejfwKeA1O2zTthCGIcHFR/DP/Ihg4hxm9jIAVr5E4tiLcMaeg9V/gIZnmG8ELEz5LNTrzNUCfnhmAX3FI5+yeO0L9nHPydEbWmLyg5CGGxDEs46efJLRUopcJklK8j0EQWCXC4lSahi4G/in8aYvAB9XSg1prSe69bqTly4yceaxbp0eDJzLJqnVvFWeDknNXaRn6lGy3iwAU84w51IvRIeHuLTQS+0XhvqpkLp/niBceY6UA68+keTFdx8nlbse2WWMwZjYKW+u/x0as2SbnUwwX/VIJxwGe7MUczLrEAShPbtaSICDwCWtdQCgtQ6UUpfj7RsSkoGBleGx6/H4Zz/NgcaZTR+3lfjG5klvlEc8hQ4O4ibypBMW6QSkE4beImSTDtmUTSYJmaRFOmGRSVhkEjBctEgPH8Jk+8AsOrEFCdvGcSwSjoXj2K2/HcfGcWySjoVj22SPD+7qLPOhoa0JFOgWYl9niH2dsZ327XYh6ZipqQXC0Ky/4yKO/tq/4cLjv8Crd9CBb50v7vlcimrVXX2HbC/DpSHekkmQTNrR6dZwji9+KtrXxs4UsC0L2wbLsrBta50qugaCgDCAgaEiExPltf+JHWRI7OsIsa8z9rJ9tm1t+gv4bheSC8B+pZQTz0YcYF+8vWtksjluufuF3XyJXT8QBUEQNsquDvDXWl8DTgHvije9C3iom/4RQRAEYXPs9hkJwAeBzyql/hCYAd6zw/YIgiAIi9j1QqK1fgJ48U7bIQiCILRnVy9tCYIgCLsfERJBEAShI0RIBEEQhI7Y9T6SDnCAXZ2JvZttA7GvU8S+zhD7OuNG7Vt03IazkS1jNpesdxNxL/C9nTZCEAThJuXlwPc3suNeFpI08EJgHAh22BZBEISbBQcYA34MNDZywF4WEkEQBGEbEGe7IAiC0BEiJIIgCEJHiJAIgiAIHSFCIgiCIHSECIkgCILQESIkgiAIQkeIkAiCIAgdsZdLpOwoSqkB4C+A44ALPAl8YHlTLqXUZ4BfBibjTV/SWn90m2w8B9TjH4B/r7X+v8v2yQGfBu4BfOBDWuuvbYNtR4D7Fm3qA3q01v3L9vsw8DvA5XjTA1rr3+2STf8FeBtwBLhDa/1ovP1W4LPAADAFvEdr/WSb4x3gT4HXAQb4mNb6v3fTvo2Ow/j4z9DFsbjG9TvHOuMw3q+rY3GV63eEDYzD+PgP08WxuNZ7qZR6CfApIAucA94dNwZcfo6uXEMRku5hgP+stf4OgFLqj4CPAf+izb4f01p/fBttW8yvNj/Qq/AhYF5rfUIpdQvwPaXUCa31QjeN0lqfA57f/Fsp9cesPl4/p7X+UDftibkP+BNWlt75JPBnWuvPK6XeTfSBfk2b438dOAHcQiQ6DymlvhX/r92ybzPjELo7zdEoHwAABdtJREFUFle7frD+OITuj8UV9m1yHEJ3x2Lb91Ip9X7g88Bvaq2/r5T6A6L3+H1tztGVayhLW11Caz3dfMNjfggc3iFzOuEdRDdG4m/ZPwH++XYaoJRKEd2E/+d2vu5ytNbf11pfWLxNKTUM3A18Id70BeBupdRQm1O8A/hzrXUYzwjuA97eTft20zhsZ98m6epYXM++nR6Ha7yX9wB1rXWzLtYngV9b5TRduYYiJNuAUsoGfhv46iq7/Gul1CNKqfuUUie30TSAv1RK/Vwp9QmlVF+b5w8B5xf9/QxwcHtMa/Em4JLW+merPP/O+H/4plLql7bTMKJrcUlrHQDEj5dpf4129FpuYBzCzo3F9cYh7PxYXG8cwjaNxWXv5ZLrorWeBGyl1Irlt+X7skXXUIRke/ivwALQbsng94ETWus7gP8DfCNeS98OXq61vpOouKW1in27gfex+rfATwJHtdbPA/4I+Jt4LVlYyVrjEHZuLO6FcQjbOxbXey+3FRGSLhM78G4B3qG1Dpc/r7W+1Nyutf4cUAAObIdtzWm81roBfAJ4WZvdnmHpUsghoJPliU2hlNoPvBL4y3bPa62vaK29+Pd/iG27fbvsi19vf/OGGz/uo/012rFrud44hJ0bixsch7Cz12/NcQjbNxbbvJdLrotSahAItdbTbQ7vyjUUIekiSqn/SLR++Zb4Q9Jun/2Lfn8tUcn7S9tgW14p1Rv/bgHvBE612fVLwAfi/W4h+tb4jW7bt4j3An+ntZ5q9+Sy6/d8oogbvT2mQRwZcwp4V7zpXcBD7aKiiK7l+5VSduxDeQvw5W7buJFxGO+37WNxE+MQdnYsrjkOY5u6PhZXeS9/CmSVUvfGf3+Q6Fq1oyvXUMrIdwml1HOBR4HTQC3e/LTW+q1KqVPA67XWl5VS3wJGgBCYB/6t1vqH22DfMeArRL0HHOAx4Pe01uPL7MsDnwHuIrqx/Dut9d90275Fdp6O7frGom1fB/5Qa/0TpdRniT5YAVFI5H/QWn+9S7b8KfArwChRiOyU1vq5SqnnEIX/loAZovBf3cZWh2gp4p/Fp/xPWuv/1k37iJyubcdhfMy2jcVV7Hsjq4zDNvZ1dSyu9v7Gz60Yh/H2bRuL69xTXkrkRM9wPfz3anxc16+hCIkgCILQEbK0JQiCIHSECIkgCILQESIkgiAIQkeIkAiCIAgdIUIiCIIgdIQIiSBsAUqpzyilPtKF835YKfX5rT6vIGwlIiSCsEtQSr1KKXVxp+0QhM0iQiIIgiB0hPQjEYQbQCl1F/A/iGoefZ2oV0TzuTcAHyEqkfEY8EGt9c/j584RZSD/BjBGVEr+t4myuv8eSCulmr0hbo0fU0qpzwFvJaqV9F6t9U+6998JwuaQGYkgbJK4L8V9RN3q+onqF70tfu4uogqxHyBqXvUp4KtKqfSiU/w68FqiTne3An+gta4Q9YW4rLUuxD/NTntvAv43UXe+r7JLKr4KQhMREkHYPC8BksAfa609rfWXgR/Hz/1L4FNa6x9prQOt9WeBRnxMk49rrS/E1Vk/yvWCj6vxfa311+NeJ38B3Lml/40gdIgsbQnC5tlH1OBocaG6ZrOgw8B7lVL/atFzqfiYJovLdp9f9lw7riz6vQpklFIJrbW/ObMFoTuIkAjC5hkn6kFiLRKTQ8AZIpH4qNb6o2scv7gj3SGijoqwyM8iCDcTIiSCsHn+H+ADv6eU+gRRKfQXAd8G/hz467gk+4NADngVcL/Wuhwf/7tKqa8RzS5+H/irePtVYEAp1au1ntuuf0YQOkV8JIKwSbTWLlHfit8EpoF3ELWmJY6mej+RQ3wGeCrebzH/C/gmcJZoFvOR+NgngC8AZ5VSs0qp9Za8BGFXIP1IBGEbicN/f0tr/a0dNkUQtgyZkQiCIAgdIUIiCIIgdIQsbQmCIAgdITMSQRAEoSNESARBEISOECERBEEQOkKERBAEQegIERJBEAShI0RIBEEQhI74/4r6+/GAAsLAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'duration', data=df_c3_p_fix);\n",
    "sns.lineplot('depth', 'duration', data=df_c3_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'is_solved', data=df_c3_p_fix);\n",
    "sns.lineplot('depth', 'is_solved', data=df_c3_zg_fix);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df_c3_p_fix);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_c3_zg_fix);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No much improvements. Probably, steps limit is too small."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cube 3x3, zero goal trained with decay and without\n",
    "\n",
    "Compare policies obtained from training with LR decay and without it"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_c3_nodecay = pd.read_csv(\"../csvs/c3x3-zero-goal-d200-no-decay-v2.csv\")\n",
    "df_c3_decay = pd.read_csv(\"../csvs/c3x3-zero-goal-d200-t1-v2.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'duration', data=df_c3_nodecay);\n",
    "sns.lineplot('depth', 'duration', data=df_c3_decay);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'is_solved', data=df_c3_nodecay);\n",
    "sns.lineplot('depth', 'is_solved', data=df_c3_decay);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot('depth', 'solve_steps', data=df_c3_nodecay);\n",
    "sns.lineplot('depth', 'solve_steps', data=df_c3_decay);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Almost the same"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Final conclusions\n",
    "\n",
    "After fix, on 2x2 cube, 'zero goal' method solves much more cubes than trained on paper.\n",
    "Cubes 3x3 has almost zero improvement, probably due to untuned MCTS search and small amount of searches performed.\n",
    "\n",
    "Future directions:\n",
    "* Experiment with MCTS parameters, check exploration constants effect\n",
    "* Give more steps to cube 3x3\n",
    "* Optimize performance of MCTS (parallelization, etc) to be able to test deeper searches."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
